Improved delay-dependent stability results of recurrent neural networks

被引：20
作者：
Li, Tao [1 ,3 ]
Yao, Xiuming [2 ]
Wu, Lingyao [3 ]
Li, Jianqing [3 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Dept Informat & Commun, Nanjing 210044, Jiangsu, Peoples R China
[2] N China Elect Power Univ, Hebei Engn Res Ctr Simulat & Optimized Control Po, Baoding 071003, Peoples R China
[3] Southeast Univ, Sch Instrument Sci & Engn, Nanjing 210096, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 19期
基金：
美国国家科学基金会;
关键词：
Delay-dependent; Asymptotic stability; Neural networks (NNs); Linear matrix inequality (LMI); GLOBAL EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; ROBUST STABILITY; DISCRETE; CRITERIA;
D O I：
10.1016/j.amc.2012.03.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the fact that the activation functions are sector bounded and a tighter inequality, this paper presents a new method to the stability analysis of a class of recurrent neural networks (RNNs) with time-varying delays. This method includes more the slope of activation functions and less variables matrices in constructed Lyapunov-Krasovskii functional. With the present stability conditions, the computational burden and conservatism are largely reduced. Both theoretical analysis and numerical example are given to illustrate the effectiveness and the benefits of the proposed method. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：9983 / 9991
页数：9
相关论文
共 34 条
[1]  
[Anonymous], 1993, Neural networks for optimization and signal processing
[2]   Global exponential stability and periodicity of recurrent neural networks with time delays [J].
Cao, JD ;
Wang, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (05) :920-931
[3]   Delay-independent stability analysis of Cohen-Grossberg neural networks [J].
Chen, TP ;
Rong, LB .
PHYSICS LETTERS A, 2003, 317 (5-6) :436-449
[4]   Novel delay-dependent robust stability criterion of delayed cellular neural networks [J].
Cho, Hyun J. ;
Park, Ju H. .
CHAOS SOLITONS & FRACTALS, 2007, 32 (03) :1194-1200
[5]   CELLULAR NEURAL NETWORKS - APPLICATIONS [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1273-1290
[6]   An integral inequality in the stability problem of time-delay systems [J].
Gu, KQ .
PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2805-2810
[7]   LMI-based stability criteria for neural networks with multiple time-varying delays [J].
He, Y ;
Wang, QG ;
Wu, M .
PHYSICA D-NONLINEAR PHENOMENA, 2005, 212 (1-2) :126-136
[8]   Stability analysis for neural networks with time-varying interval delay [J].
He, Yong ;
Liu, G. P. ;
Rees, D. ;
Wu, Min .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (06) :1850-1854
[9]   New delay-dependent stability criteria for neural networks with time-varying delay [J].
He, Yong ;
Liu, Guoping ;
Rees, D. .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (01) :310-314
[10]   New results on stability analysis of neural networks with time-varying delays [J].
Hua, CC ;
Long, CN ;
Guan, XP .
PHYSICS LETTERS A, 2006, 352 (4-5) :335-340
1234